77473190340 has 960 divisors, whose sum is σ = 317413426176. Its totient is φ = 15371845632.

The previous prime is 77473190329. The next prime is 77473190371. The reversal of 77473190340 is 4309137477.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 247518024 + ... + 247518336.

Almost surely, 2^77473190340 is an apocalyptic number.

77473190340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77473190340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158706713088).

77473190340 is an abundant number, since it is smaller than the sum of its proper divisors (239940235836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77473190340 is a wasteful number, since it uses less digits than its factorization.

77473190340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 77473190340 in words is "seventy-seven billion, four hundred seventy-three million, one hundred ninety thousand, three hundred forty".